SeDuMi Interface   

• Version: 1.04
• Release: 13th September,  2002
• Description: A user-friendly free Matlab package for defining optimisation problems over Linear Matrix Constraints (LMCs). It includes both Inequalities (LMIs) and Equalities (LMEs). It acts as an interface for the Self-Dual-Minimisation package SeDuMi developed by Jos F. Sturm. The functionalities of SeDuMi Interface are the following:
• Declare an LMC problem. Five Matlab functions allow to define completely an LMC problem which can be characterised by variables, equality constraints, inequality constraints and a linear objective:
                    - Initialise the LMC problem: sdmpb.
                    - Declare the matrix variables: sdmvar.
                    - Declare the equality constraints: sdmlme and sdmeq.
                    - Declare the inequality constraints: sdmlmi and sdmineq.
                    - Declare the linear objective: sdmobj.
• Solve an LMC problem. A unique function, sdmsol, calls the SeDuMi solver. Options allow to tune the solver parameters.
• Modify an LMC problem. At any moment it is possible to append an LMC problem by adding variables, inequalities or linear terms to the objective. Moreover, the sdmset function allows to freeze matrix variables to specified values.
• Analyse the solution issued from the solver. For all (feasible or not) problems, the solver outputs the last computed iterate (sdmget). SeDuMi Interface allows to analyse this result in a convivial display. The solution is displayed directly in matrix format and indicators show which inequality constraints are satisfied.
• Authors: Dimitri Peaucelle (peaucelle@laas.fr) and Kristen Taitz.
• Download: The complete package constituted of m-files and the user's guide: SeDuMiInt104.tar.gz., SeDuMiInt104.zip.
• User's Guide: Compressed postscript file (sdmguide.ps.gz) and a pdf file (sdmguide.pdf, for Acrobat Reader 5.0).
• Platforms: Any platform (UNIX, Windows, Mac) with Matlab (releases R11 to R13) and SeDuMi1.05.
• Affiliation: LAAS-CNRS, Toulouse France.
• Copying-policy: General Public Licence (GPL).
• Citation: Y. Labit, D. Peaucelle and D. Henrion, ``SeDuMi Interface 1.02 : a Tool for Solving LMI Problems with SeDuMi'', Proceedings of the CACSD Conference, Glasgow, September 2002.